Input-to-State Stability of Stochastic Memristive Neural Networks with Time-Varying Delay

Xu Y. Lou, Qian Ye
2015 Mathematical Problems in Engineering  
This paper is concerned with the input-to-state stability problem of a class of memristive neural networks. We consider the neural networks that take into account both the stochastic effects and time-varying delay, and introduce the notions of meansquare exponential input-to-state stability. Using the stochastic analysis theory and Itô formula for stochastic differential equations, we establish sufficient conditions for both mean-square exponential input-to-state stability and mean-square
more » ... ntial stability. Numerical simulations are also provided to demonstrate the theoretical results.
doi:10.1155/2015/140857 fatcat:xrdh5ko6nzg5lkfjgguafwvg3q